Answer
$x=0$
Work Step by Step
We find the determinant of the given matrix as follows:
$\begin{vmatrix} -0.5 & 2 \\ x & x \\ \end{vmatrix}=(-0.5)(x) -(2)(x) =-2.5x$
Substitute the expression of the determinant in the given equation:
$-2.5x=0$
Solve for $x$:
$x=0$
The solution of the given equation is
$x=0$
